Minor Losses Fluid Flow Equation

Fluid Flow Table of Contents
Hydraulic and Pneumatic Knowledge

Minor Losses Fluid Flow Equation | Minor Loss in Pipe or Duct Components

The losses that occur in pipelines due to bends, elbows, joints, valves, etc. are sometimes called minor losses. This is a misnomer because in many cases these losses are more important than the losses due to pipe friction, considered in the preceding section. For all minor losses in turbulent flow, the head loss varies as the square of the velocity. Thus a convenient method of expressing the minor losses in flow is by means of a loss coefficient (K).

Values of the loss coefficient (K) for typical situations and fittings is found in standard handbooks. The form of Darcys equation used to calculate minor losses of individual fluid system components is expressed by Equation 3-15.

hm = K (V2/2g)

Where:

g = acceleration due to gravity = 32.174 ft/s 2 = 9.806 m/s 2 .
hm = head loss due to a fitting and has units of ft or m of fluid. It is the energy loss due to a fitting per unit weight of fluid.
K = minor loss coefficient for valves, bends, tees, and other fittings - table of minor loss coefficients .

The minor loss calculation is valid for open channels (including partially full culverts) as well as closed conduits (circular or non-circular) flowing full. The minor loss calculation does not check for unreasonable inputs such as negative values. All values should be entered as positive.

Liquid Temperature Kinematic Viscosity
°F °c °K CentiStokes m2/sec ft2/sec
Enter For Conversion
Acetic acid - vinegar  59.00 15.00 288.15 1.350 1.3500e-006 1.4531e-005
Acetone  68.00 20.00 293.15 0.410 4.1000e-007 4.4132e-006
Alcohol - allyl  68.00 20.00 293.15 1.600 1.6000e-006 1.7222e-005
104.00 40.00 313.15 0.900 9.0000e-007 9.6875e-006
Alcohol - butyl-n  68.00 20.00 293.15 3.640 3.6400e-006 3.9181e-005
Alcohol - ethyl (grain)  68.00 20.00 293.15 1.520 1.5200e-006 1.6361e-005
100.00 37.78 310.93 1.200 1.2000e-006 1.2917e-005
Alcohol - methyl (wood) 59.00 15.00 288.15 0.740 7.4000e-007 7.9653e-006
32.00 0.00 273.15 1.040 1.0400e-006 1.1194e-005
Alcohol - propyl  68.00 20.00 293.15 2.800 2.8000e-006 3.0139e-005
122.00 50.00 323.15 1.400 1.4000e-006 1.5069e-005
Ammonia  0.00 -17.78 255.37 0.300 3.0000e-007 3.2292e-006
Asphalt RC-0, MC-0, SC-0  77.00 25.00 298.15 250.000 2.5000e-004 2.6910e-003
100.00 37.78 310.93 90.000 9.0000e-005 9.6875e-004
Beer  68.00 20.00 293.15 1.800 1.8000e-006 1.9375e-005
Castor oil  100.00 37.78 310.93 292.000 2.9200e-004 3.1431e-003
130.00 54.44 327.59 114.000 1.1400e-004 1.2271e-003
China wood oil  69.00 20.56 293.71 308.000 3.0800e-004 3.3153e-003
100.00 37.78 310.93 126.000 1.2600e-004 1.3563e-003
Coconut oil  100.00 37.78 310.93 30.000 3.0000e-005 3.2292e-004
130.00 54.44 327.59 15.200 1.5200e-005 1.6361e-004
Cod oil (fish oil)  100.00 37.78 310.93 32.000 3.2000e-005 3.4445e-004
130.00 54.44 327.59 19.500 1.9500e-005 2.0990e-004
Corn oil  130.00 54.44 327.59 28.800 2.8800e-005 3.1000e-004
212.00 100.00 373.15 8.600 8.6000e-006 9.2570e-005
Corn starch solution, 22  70.00 21.11 294.26 32.000 3.2000e-005 3.4445e-004
100.00 37.78 310.93 27.500 2.7500e-005 2.9601e-004
Corn starch solution, 24  70.00 21.11 294.26 130.000 1.3000e-004 1.3993e-003
100.00 37.78 310.93 95.200 9.5200e-005 1.0247e-003
Corn starch solution, 25 70.00 21.11 294.26 303.000 3.0300e-004 3.2615e-003
100.00 37.78 310.93 173.000 1.7300e-004 1.8622e-003
Cotton seed oil  100.00 37.78 310.93 37.900 3.7900e-005 4.0795e-004
130.00 54.44 327.59 20.600 2.0600e-005 2.2174e-004
Crankcase oil SAE 10W  0.00 -17.78 255.37 1295.000 1.2950e-003 1.3939e-002
Crankcase oil SAE 10W  0.00 -17.78 255.37 1945.000 1.9450e-003 2.0936e-002
Crankcase oil SAE 20W  0.00 -17.78 255.37 6300.000 6.3000e-003 6.7813e-002
Crankcase oil SAE 20  210.00 98.89 372.04 7.650 7.6500e-006 8.2344e-005
Crankcase oil SAE 30  210.00 98.89 372.04 11.300 1.1300e-005 1.2163e-004
Crankcase oil SAE 40  210.00 98.89 372.04 14.850 1.4850e-005 1.5984e-004
Crankcase oil SAE 50  210.00 98.89 372.04 19.800 1.9800e-005 2.1313e-004
Crude oil 48 o API  60.00 15.56 288.71 3.800 3.8000e-006 4.0903e-005
130.00 54.44 327.59 1.600 1.6000e-006 1.7222e-005
Crude oil 40 o API  60.00 15.56 288.71 9.700 9.7000e-006 1.0441e-004
130.00 54.44 327.59 3.500 3.5000e-006 3.7674e-005
Crude oil 35.6 o API  60.00 15.56 288.71 17.800 1.7800e-005 1.9160e-004
130.00 54.44 327.59 4.900 4.9000e-006 5.2743e-005
Crude oil 32.6 o API  60.00 15.56 288.71 23.200 2.3200e-005 2.4972e-004
130.00 54.44 327.59 7.100 7.1000e-006 7.6424e-005
Diesel fuel 2D  100.00 37.78 310.93 2 - 6 4.1676e-002 4.4860e-001
130.00 54.44 327.59 2.5 2.5000e-006 2.6910e-005
Diesel fuel 3D  100.00 37.78 310.93 8.88 8.8800e-006 9.5584e-005
130.00 54.44 327.59 5.4 5.4000e-006 5.8125e-005
Diesel fuel 4D  100.00 37.78 310.93 28.6 2.8600e-005 3.0785e-004
130.00 54.44 327.59 12.8 1.2800e-005 1.3778e-004
Diesel fuel 5D  122.00 50.00 323.15 85.1 8.5100e-005 9.1601e-004
161.00 71.67 344.82 34.6 3.4600e-005 3.7243e-004
Ethylene glycol (Anti Freeze)  70.00 21.11 294.26 17.800 1.7800e-005 1.9160e-004
Refrigerant -11  70.00 21.11 294.26 0.210 2.1000e-007 2.2604e-006
Refrigerant -12  70.00 21.11 294.26 0.270 2.7000e-007 2.9063e-006
Refrigerant -21  70.00 21.11 294.26 1.450 1.4500e-006 1.5608e-005
Fuel oil 1  70.00 21.11 294.26 3.3 3.3000e-006 3.5521e-005
100.00 37.78 310.93 2.69 2.6900e-006 2.8955e-005
Fuel oil 2  70.00 21.11 294.26 5.2 5.2000e-006 5.5972e-005
100.00 37.78 310.93 3.2 3.2000e-006 3.4445e-005
Fuel oil 3  70.00 21.11 294.26 4.3 4.3000e-006 4.6285e-005
100.00 37.78 310.93 3 3.0000e-006 3.2292e-005
Fuel oil 5A  70.00 21.11 294.26 16.9 1.6900e-005 1.8191e-004
100.00 37.78 310.93 9.3 9.3000e-006 1.0010e-004
Fuel oil 5B  70.00 21.11 294.26 26.4 2.6400e-005 2.8417e-004
100.00 37.78 310.93 40.3 4.0300e-005 4.3379e-004
Fuel oil 6  122.00 50.00 323.15 378 3.7800e-004 4.0688e-003
160.00 71.11 344.26 104 1.0400e-004 1.1194e-003
Gas oils  70.00 21.11 294.26 13.900 1.3900e-005 1.4962e-004
100.00 37.78 310.93 7.400 7.4000e-006 7.9653e-005
Gasoline a  60.00 15.56 288.71 0.880 8.8000e-007 9.4722e-006
100.00 37.78 310.93 0.710 7.1000e-007 7.6424e-006
Gasoline b  60.00 15.56 288.71 0.640 6.4000e-007 6.8889e-006
100.00 37.78 310.93 0.550 5.5000e-007 5.9202e-006
Gasoline c  60.00 15.56 288.71 0.460 4.6000e-007 4.9514e-006
100.00 37.78 310.93 0.400 4.0000e-007 4.3056e-006
Gear oil SAE 75W  210.00 98.89 372.04 4.200 4.2000e-006 4.5208e-005
Gear oil SAE 80W  210.00 98.89 372.04 7.000 7.0000e-006 7.5347e-005
Gear oil SAE 85W  210.00 98.89 372.04 11.000 1.1000e-005 1.1840e-004
Gear oil SAE 90W  210.00 98.89 372.04 20.000 2.0000e-005 2.1528e-004
Gear oil SAE 140  210.00 98.89 372.04 36.000 3.6000e-005 3.8750e-004
Gear oil SAE150  210.00 98.89 372.04 43.000 4.3000e-005 4.6285e-004
Glycol  68.00 20.00 293.15 52.000 5.2000e-005 5.5972e-004
Honey  100.00 37.78 310.93 73.600 7.3600e-005 7.9222e-004
Ink, printers  100.00 37.78 310.93 1100.000 1.1000e-003 1.1840e-002
130.00 54.44 327.59 432.000 4.3200e-004 4.6500e-003
Insulating oil  70.00 21.11 294.26 24.100 2.4100e-005 2.5941e-004
100.00 37.78 310.93 11.750 1.1750e-005 1.2648e-004
Kerosene  68.00 20.00 293.15 2.710 2.7100e-006 2.9170e-005
Jet Fuel  -30.00 -34.44 238.71 7.900 7.9000e-006 8.5035e-005
Lard  100.00 37.78 310.93 62.100 6.2100e-005 6.6844e-004
130.00 54.44 327.59 34.300 3.4300e-005 3.6920e-004
Lard oil  100.00 37.78 310.93 43.000 4.3000e-005 4.6285e-004
130.00 54.44 327.59 25.000 2.5000e-005 2.6910e-004
Linseed oil  100.00 37.78 310.93 30.500 3.0500e-005 3.2830e-004
130.00 54.44 327.59 19.000 1.9000e-005 2.0451e-004
Mercury  70.00 21.11 294.26 0.118 1.1800e-007 1.2701e-006
100.00 37.78 310.93 0.110 1.1000e-007 1.1840e-006
Menhaden oil  100.00 37.78 310.93 29.800 2.9800e-005 3.2076e-004
130.00 54.44 327.59 18.200 1.8200e-005 1.9590e-004
Milk  68.00 20.00 293.15 1.130 1.1300e-006 1.2163e-005
Molasses A, first  100.00 37.78 310.93 1300.000 1.3000e-003 1.3993e-002
130.00 54.44 327.59 900.000 9.0000e-004 9.6875e-003
Molasses B, second  100.00 37.78 310.93 6200.000 6.2000e-003 6.6736e-002
130.00 54.44 327.59 2300.000 2.3000e-003 2.4757e-002
Molasses C, blackstrap  100.00 37.78 310.93 15000.000 1.5000e-002 1.6146e-001
130.00 54.44 327.59 8150.000 8.1500e-003 8.7726e-002
Naphthalene  176.00 80.00 353.15 0.900 9.0000e-007 9.6875e-006
212.00 100.00 373.15 0.800 8.0000e-007 8.6111e-006
Neatstool oil  100.00 37.78 310.93 49.700 4.9700e-005 5.3497e-004
130.00 54.44 327.59 27.500 2.7500e-005 2.9601e-004
Nonane-n  0.00 -17.78 255.37 1.728 1.7280e-006 1.8600e-005
100.00 37.78 310.93 0.807 8.0700e-007 8.6865e-006
Octane-n  0.00 -17.78 255.37 1.267 1.2670e-006 1.3638e-005
100.00 37.78 310.93 0.650 6.5000e-007 6.9965e-006
Olive oil  100.00 37.78 310.93 43.200 4.3200e-005 4.6500e-004
130.00 54.44 327.59 24.100 2.4100e-005 2.5941e-004
Palms oil  100.00 37.78 310.93 47.800 4.7800e-005 5.1451e-004
130.00 54.44 327.59 26.400 2.6400e-005 2.8417e-004
Peanut oil  100.00 37.78 310.93 42.000 4.2000e-005 4.5208e-004
130.00 54.44 327.59 23.400 2.3400e-005 2.5188e-004
Petroleum ether  60.00 15.56 288.71 26.000 2.6000e-005 2.7986e-004
Propylene glycol  70.00 21.11 294.26 52.000 5.2000e-005 5.5972e-004
Quenching oil (typical)  68.00 20.00 293.15 110.000 1.1000e-004 1.1840e-003
Rosin oil  100.00 37.78 310.93 324.700 3.2470e-004 3.4950e-003
130.00 54.44 327.59 130.000 1.3000e-004 1.3993e-003
Rosin (wood)  100.00 37.78 310.93 5640.000 5.6400e-003 6.0708e-002
200.00 93.33 366.48 3210.000 3.2100e-003 3.4552e-002
Sesame seed oil  100.00 37.78 310.93 39.600 3.9600e-005 4.2625e-004
130.00 54.44 327.59 23.000 2.3000e-005 2.4757e-004
Sulphuric acid   68.00 20.00 293.15 14.600 1.4600e-005 1.5715e-004
140.00 60.00 333.15 7.000 7.0000e-006 7.5347e-005
Tar, coke oven  70.00 21.11 294.26 1150.000 1.1500e-003 1.2378e-002
100.00 37.78 310.93 255.000 2.5500e-004 2.7448e-003
Tar, pine  70.00 21.11 294.26 559.000 5.5900e-004 6.0170e-003
100.00 37.78 310.93 108.000 1.0800e-004 1.1625e-003
Toluene  68.00 20.00 293.15 0.680 6.8000e-007 7.3195e-006
140.00 60.00 333.15 0.380 3.8000e-007 4.0903e-006
Turpentine  100.00 37.78 310.93 90.800 9.0800e-005 9.7736e-004
130.00 54.44 327.59 42.100 4.2100e-005 4.5316e-004
Varnish, spar  68.00 20.00 293.15 313.000 3.1300e-004 3.3691e-003
100.00 37.78 310.93 143.000 1.4300e-004 1.5392e-003
Water, distilled  68.00 20.00 293.15 1.004 1.0038e-006 1.0805e-005
Water, fresh  60.00 15.56 288.71 1.130 1.1300e-006 1.2163e-005
130.00 54.44 327.59 0.560 5.6000e-007 6.0278e-006
Water, sea  68.00 20.00 293.15 1.150 1.1500e-006 1.2378e-005
Whale oil  100.00 37.78 310.93 37.000 3.7000e-005 3.9826e-004
130.00 54.44 327.59 21.600 2.1600e-005 2.3250e-004
Xylene-o  68.00 20.00 293.15 0.930 9.3000e-007 1.0010e-005
104.00 40.00 313.15 0.623 6.2300e-007 6.7059e-006

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